<7 Inspiring Mathematics Books That Changed My Perspective>
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Once a comforting pot of tea is brewed, it can be left to steep on low heat, delivering rich flavors throughout the night. This process mirrors the experience of reading; the longer we engage with a book, the more profound our understanding becomes, allowing our imagination to flourish.
As noted by Nasreddin Tusi, “Books can’t bring back the deceased or enlighten the foolish. They sharpen our intellect, quenching our thirst for knowledge. Within a month, you can absorb more from an expert than you typically would in a lifetime, alleviating your knowledge deficit. Books will distance you from unpleasant individuals and prevent you from forming bonds with the ignorant.”
However, to reap these benefits, one must choose the right books. While every book has its lessons, some are truly exceptional. These works not only expand the mind but also open new avenues for personal growth.
Below is a list of seven mathematics books that significantly influenced my life, whether during or after reading them. Although they may not resonate with everyone, they offer valuable insights.
Naive Set Theory
In 2005, I faced considerable challenges in Ali Nesin’s Set Theory class at university. Prior to this, my mathematical experiences revolved around numbers and basic operations. However, this course completely shifted my perspective on mathematics. The professor didn’t write a single numeral on the board throughout our two-hour lectures. Instead, the focus was on abstract ideas, which left me feeling lost.
A month later, I approached Professor Ali to express my difficulties. He handed me Paul Hamos’ Set Theory book and encouraged me to study it. On my bus ride home, I delved into the first section and felt a wave of happiness wash over me. I was absorbing a wealth of information, and from that moment onward, I began to enjoy the Set Theory classes.
As English commentator Peter Drury remarked when Messi scored a brilliant goal against three Real Madrid players, it was “wonderful, wonderful, wonderful.” This book is a must-read for any aspiring mathematician.
Surely You Are Joking, Mr. Feynman
I first encountered Richard Feynman and his book Surely You Are Joking, Mr. Feynman on a winter evening at the library. It caught my eye as I watched the rain through the window, with a post-it note inside declaring, “I have to understand the world you see.” Eager to comprehend the world myself, I picked up the book.
This work illustrated what a passionate educator should embody. In one section, Feynman shares his experience of learning Portuguese to teach physics in Brazil, explaining, “A person learns best in their mother tongue, so a Brazilian student deserves to learn in his language.” This demonstrated a profound respect for his students.
Inspired, I began watching native English-speaking educators on YouTube to enhance my teaching skills, taking note of their terminology and practicing my lesson plans accordingly. This approach proved beneficial for both my students and me.
Feynman’s recounting of his life experiences, infused with clever phrasing and vivid imagery, offers advice that can guide readers in their own journeys.
For a first-year physics student, reading this book would ignite a passion for the sciences.
A Mathematician’s Apology
G.H. Hardy opens this book with a claim that mathematicians dedicate their lives to inventing and resolving unanswered queries, followed by a blunt assertion that judgment and praise are for lesser minds.
These words initially disheartened me. However, Hardy starkly highlights the necessity for individuals who can construct a modern society. Isn’t there a profound distinction between action and mere words?
Another compelling aspect of the book is Hardy’s reasoning for choosing mathematics. He reflects on how his early aptitude for math set him apart from his peers, ultimately guiding him toward his profession. In essence, he didn’t pursue mathematics out of obligation but rather embraced what he excelled at.
This concise book is a recommendation for anyone seeking to thrive in mathematics.
Euclid’s Elements
As Ali Nesin eloquently states, to grasp the universe, we must engage with geometry, and the progression of mathematics aims to enhance our understanding of geometry. He emphasizes that geometry is a fundamental human necessity.
The progenitor of this essential discipline is Euclid. Armed only with a compass and a ruler, he made groundbreaking contributions to geometry thousands of years ago, resulting in the creation of the eleven pivotal works known as “Euclid’s Elements.” He meticulously documented his findings because he sought to prove and comprehend facts rather than accept them blindly.
This book taught me the art of proof. Every time I revisit it, I am struck by Euclid’s ability to clarify and elucidate proof. As Einstein once remarked, “Anyone who isn’t captivated by this book in their youth shouldn’t expect to make significant strides in theoretical sciences.”
The Man Who Loved Only Numbers
During my master’s program in Mathematics, my professor tasked us with selecting a math book for a presentation. I chose Paul Hoffman’s “The Man Who Loved Only Numbers” from the extensive list provided.
This book chronicles the life of Paul Erd?s, a towering figure in 20th-century mathematics, and his remarkable contributions.
Throughout the narrative, we witness Erd?s’ profound passion and dedication to mathematics. While many people prioritize relationships, wealth, or fame, Erd?s held mathematics in the highest regard. His devotion was such that when seeking a surgeon for his eye operation, he insisted that the doctor must be knowledgeable in mathematics to engage in meaningful conversation.
This fervor for math left a lasting impression on me, and I hope that someday, Erd?s’ story will be adapted into a film for all to appreciate.
Infinite Powers: The Story of Calculus — The Language of the Universe
Three years ago, when I was asked to teach AP Calculus, I immersed myself in studying the subject to prepare for the course. During the summer, I eagerly sought out educators and lecturers on YouTube and stumbled upon Steven Strogatz’s “Applications of Calculus” lecture, which captivated me.
In that lecture, Professor Strogatz articulated how calculus is essential for understanding a child’s gender in utero, creating the stunning animations that Pixar produces, and even calculating the metrics that enabled Usain Bolt to break records. After absorbing the entire lecture, I promptly ordered his book.
This book answered a question that had long puzzled me: “Why is math necessary?” Moreover, it underscored the importance of engaging students in hands-on projects to help them visualize abstract concepts in mathematics.
The Geometry of Pasta
Two culinary delights I never tire of are pasta and french fries. At times, I even prefer pasta over fries.
Thus, when I spotted this book on an old bookstore shelf, I, as a pasta lover and geometry enthusiast, purchased it without a second thought. How could a book that cost only a dollar be anything but delightful?
To my surprise and joy, the book was exceptional and imparted many lessons. The most significant takeaway was the aesthetic allure of mathematics. Math is far from dull; it underpins the creation of various delicious and visually appealing pasta shapes worldwide.
In summary, while I didn’t learn new mathematical concepts from this book, I discovered the essence of aesthetic beauty.
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